Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) (- t z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
12.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
63.0ms
(/ (* x (- y z)) (- t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11209239
25001239

prune110.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
12.0ms
(/ (- y z) (- t z))
23.0ms
(* x (/ (- y z) (- t z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- t z))
61.0ms
(* x (/ (- y z) (- t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.2b
(/ x (/ (- t z) (- y z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
139.0ms
(/ x (/ (- t z) (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06331784
128631733
250011730

prune388.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
3.2b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
49.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
72.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (/ t (- y z)) (/ z (- y z)))
27.0ms
(/ t (- y z))
44.0ms
(/ z (- y z))
96.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05091610
119111560
250021544

prune416.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes92.0ms

Accuracy

-4.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch70.0ms

Steps
ItersRangePoint
10
2.477901339312848e-93
5.018528751992163e-75
7.159359654939009e-78
9
-1.2360690336583793e-110
-2.6540601543832486e-118
-5.780955349548897e-116

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample449.0ms

Algorithm
intervals
Results
229.0ms8726×body80valid